Solved: The World Health Organization defines obesity in

Chapter , Problem 94E

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The World Health Organization defines obesity in adults as having a body mass index (BMI) higher than 30. Of the 250 men in the study mentioned in Exercise 11-1, 23 are by this

definition obese. How good is waist (size in inches) as a predictor of obesity? A logistic regression model was i t to the data:

\(\log \left(\frac{p}{1-p}\right)=-41.828+0.9864 \text { waist }\)

where p is the probability of being classii ed as obese.

(a) Does the probability of being classii ed as obese increase or decrease as a function of waist size? Explain.

(b) What is the estimated probability of being classified as obese for a man with a waist size of 36 inches?

(c) What is the estimated probability of being classified as obese for a man with a waist size of 42 inches?

(d) What is the estimated probability of being classified as obese for a man with a waist size of 48 inches?

(e) Make a plot of the estimated probability of being classified as obese as a function of waist size.

Equation Transcription:

Text Transcription:

 

log (p1-p)=-41.828+0.9864 waist  

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